Analytical model for dynamic waveband switching

We present in this paper a novel framework to analytically model dynamic waveband switching in a multi-granular optical network. The scalable solution consists in modeling each potential carrier of waveband tunnels independently by a Markov chain while modulating the rate of critical transitions, i.e. reserving a new waveband tunnel, by the waveband setup availability computed from the solution of other potential carriers. An iterative procedure is repeated to obtain a consistent numerical solution all over the network.